C = 21° 20', c = 356 m, b = 425 m First triangle (assume B s 90°): A = B = a = m Second triangle (assume B' > 90°): A' = B' = a' = m

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Can I get help on this trig problem please

### Solving Triangles: An Educational Guide

In this exercise, we will solve for all the solutions to a given triangle using provided measurements. The angles should be rounded to the nearest minute and the sides to the nearest whole number. If a triangle solution is not possible, the answer should be indicated as "NONE."

#### Given Measurements:
- Angle \( C = 21^\circ 20' \)
- Side \( c = 356 \, \text{m} \)
- Side \( b = 425 \, \text{m} \)

### First Triangle Solution (Assume \( B \le 90^\circ \)):
Calculate the values for angles A, B, and side a.

- \( A = \quad \,{}^\circ \quad ' \)
- \( B = \quad \,{}^\circ \quad ' \)
- \( a = \quad \, \text{m} \)

### Second Triangle Solution (Assume \( B' > 90^\circ \)):
Calculate the values for angles \( A' \), \( B' \), and side \( a' \).

- \( A' = \quad \,{}^\circ \quad ' \)
- \( B' = \quad \,{}^\circ \quad ' \)
- \( a' = \quad \, \text{m} \)

**Instructions:**
1. Use the given measurements to determine the values for the unknown angles and sides.
2. Round your answers if necessary, ensuring angles are to the nearest minute and side lengths to the nearest meter.
3. If a particular solution is not possible given the assumptions and measurements, indicate "NONE" in the answer space provided.

By practicing this exercise, you will gain a better understanding of solving triangles using fundamental trigonometric concepts.
Transcribed Image Text:### Solving Triangles: An Educational Guide In this exercise, we will solve for all the solutions to a given triangle using provided measurements. The angles should be rounded to the nearest minute and the sides to the nearest whole number. If a triangle solution is not possible, the answer should be indicated as "NONE." #### Given Measurements: - Angle \( C = 21^\circ 20' \) - Side \( c = 356 \, \text{m} \) - Side \( b = 425 \, \text{m} \) ### First Triangle Solution (Assume \( B \le 90^\circ \)): Calculate the values for angles A, B, and side a. - \( A = \quad \,{}^\circ \quad ' \) - \( B = \quad \,{}^\circ \quad ' \) - \( a = \quad \, \text{m} \) ### Second Triangle Solution (Assume \( B' > 90^\circ \)): Calculate the values for angles \( A' \), \( B' \), and side \( a' \). - \( A' = \quad \,{}^\circ \quad ' \) - \( B' = \quad \,{}^\circ \quad ' \) - \( a' = \quad \, \text{m} \) **Instructions:** 1. Use the given measurements to determine the values for the unknown angles and sides. 2. Round your answers if necessary, ensuring angles are to the nearest minute and side lengths to the nearest meter. 3. If a particular solution is not possible given the assumptions and measurements, indicate "NONE" in the answer space provided. By practicing this exercise, you will gain a better understanding of solving triangles using fundamental trigonometric concepts.
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